A lab technician is mixing a solution and needs to convert 5 gallons to liters.
1 answer:
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5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by , or
. 3 million times
is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.
Answer: 27
Step-by-step explanation:
The given sequence : 13, 24, 35, ....
Here, first term : a= 13
Common difference: d=24-13 =11
The nth term of arithmetic sequence is given by :-
It is given that the nth term is 299, so put
Subtract 13 from both sides , we get
Divide both sides by 11, we get
Add 1 on both sides , we get
Hence, the value of n= 27
The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is:
Given that:
Let the number of months be t. So, the function C(t) is calculated as follows:
The range is calculated as follows:
The smallest possible value of t is 0 i.e. when no monthly subscription is done.
So, we have:
And the highest is i.e. for a large value of t
So, we have:
Hence, the range of the function is:
Read more about range of functions at: